Suppose f(x, y)=x/y, p=(−1,4) and v=4i−1j. a. find the gradient of f.∇f=i+ jnote: your answers should be expressions of x and y; e. g. "3x - 4y"b. find the gradient of f at the point p.(∇f)(p)=i+ jnote: your answers should be numbersc. find the directional derivative of f at p in the direction of v. duf=note: your answer should be a numberd. find the maximum rate of change of f at p. note: your answer should be a numbere. find the (unit) direction vector in which the maximum rate of change occurs at p. u=i+ j